Question

gravitational force between two masses m and M seprated by a distance r is f. now if the distance between them is halved, the force between them becomes

Answer 1

Answer:

Correct option is A)

Gravitational force between two  masses m1 and m2  separated by a distance R  is given by 

           F=Gm1m2/R2

if the distance is doubled then new gravitational force will be 

          F′=Gm1m2/(2R)2

     or  F′=Gm1m2/4R2

    or   F′=F/4

Answer 2

Answer:

When the distance is halved then the force of attraction will be increased 4 times.

Explanation:

The gravitational force of attraction between two objects is proportional to the product of their masses (M & m) and inversely proportional to the square of the distance (r) between them. This is the universal law of gravitation. Mathematically gravitational force,

    F = G Mm / r²

If the distance between them is halved then, r = r/2

⇒ F₂ = G Mm / (r/2)²

   F₂ = G Mm / (r²/4)

   F₂ = 4 × [ G Mm / r² ]

   F₂ = 4 × F

So when the distance is halved then the force of attraction will be increased 4 times.